As \(k\)  is a local field of characteristic zero, \(k\)  is a separable finite field extension of \(k_0=_p\)  or \(k_0=\) .
Let \(\mathrm {R}_{k/k_0}\)  be the restriction of scalars (from \(k\)  to \(k_0\) ) of the group \(\) .
By functorial properties of the restriction of scalars functor, [1]} we get that \(\mathrm {R}_{k/k_0}\ltimes \mathrm {R}_{k/k_0}{u}{G} \) 
is a \(k_0\) -Levi decomposition of \(\mathrm {R}_{k/k_0}\) .
Moreover \(\mathrm {R}_{k/k_0}(k_0)\cong (k)\) . The center of \(\mathrm {R}_{k/k_0}(k_0)=L\)  is compact and the action of \(L\)  on \(\mathrm {R}_{k/k_0}{u}{}(k_0)={u}{G}\)  is with no invariant vectors, hence by Lemma REF  \(G\) , is sealed.
